Ray Kurzweil has tracked the power of calculating machines and
computers back to the 19th century, and found that they follow a
consistent, steadfast exponential growth curve through one technology
after another. The technologies he studied are:
(1) Punched card electromechanical calculators, used in 1890 and 1900
census
(2) Relay-based machine used during World War II to crack the Nazi
Enigma machine's encryption code.
(3) The CBS vacuum tube computer that predicted the election of
President Eisenhower in 1952.
(4) Transistor-based machines used in the first space launches
(5) Integrated circuits - multiple transistors on a chip (Moore's
Law)
Each of these technology paradigms follows an S curve, but whenever
one levels off, the next one takes over.